Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

The ratio of last year income of A, B and C is 3 : 4 : 5. While the ratio is their last year income to current year income is 4 : 5, 2 : 3 and 3 : 4 respectively. If their total current year income is Rs. 98,500 then find the present income of B + C.

Options:

Rs. 76000

Rs. 72000

Rs. 70000

Rs. 65000

Correct Answer:

Rs. 76000

Explanation:

                    Last Year     :       Current Year

          A              4           :              5

          B              2           :              3

          C              3           :              4

*According to this ratio of last year income of A, B and C is 4 : 2 : 3 but according to question it should be 3 :  4   :  5

Therefor in this situation always follow two steps

a) Make it in the ratio 1 : 1 : 1

b) multiply by the new ratio in which we want to convert

a)          L. Y.      :     C.Y.

     A   3 x (4      :      5

     B   6 x (2       :     3

     C   4 x (3       :     4

 

b)                   L.Y.     :     C.Y.

 A       3 x 3 x (4      :      5

 B       4 x 6 x (2      :      3

 C       5 x 4 x (3      :     4

 

New Ratio 

         L.Y.     :     C.Y.

A        --      :      45

B         --     :      72

C         --     :      80

----------------------------

Total C.Y. =      197R = 98500 (given)

                          1R = 500

Hence,

C.Y. income of B + C = 72R + 80R= 152R = 152 x 500 = Rs.76000